Arithmetic circuit complexity investigates the computational resources required to evaluate polynomial functions via networks of arithmetic operations. At its core, this field seeks to classify ...

Arithmetic geometry explores deep connections between number theory and geometry by investigating solutions to polynomial equations over various fields. The subject has expanded to include the study ...

Abstract: The truncated power-series is very useful in computer algebra, but we must control the cutoff degree carefully when we use the power-series in actual algorithms. In this paper, we propose a ...

Background and Significance Dirichlet polynomials are a fundamental tool in number theory, with applications in various areas such as algebraic geometry, arithmetic geometry, and cryptography. They ...

Large language models (LLMs) have revolutionized natural language processing (NLP) by excellently creating and understanding human-like text. However, these models often need to improve when it comes ...

Source routing (SR) is a prominent alternative to table-based routing for reducing the number of network states. Actually the traditional SR approaches, based on Port Switching, still maintain a state ...

Royalty-free licenses let you pay once to use copyrighted images and video clips in personal and commercial projects on an ongoing basis without requiring additional payments each time you use that ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...

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